Rule: Q[1, 96]

Type

Polynomials

One starts from the polynomial $P_1$ and extends one by one with $P_{\mathrm{i}}$ until the final polynomial defining this rule is reached.
Note: Polynomials might be truncated due to size! The complete polynomials are included in the download.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{97}-4656\cdot t^{95}+5197260\cdot t^{93}-3705646380\cdot t^{91}+\frac{3793655481525}{2}\cdot t^{89}-742797743282595\cdot t^{87}+\frac{926268785873395965}{4}\cdot t^{85}-\frac{236198540397715971075}{4}\cdot t^{83}+\frac{803783632973427449568225}{64}\cdot t^{81}-\frac{36170263483804235230570125}{16}\cdot t^{79}+\frac{22288116358720169749077311025}{64}\cdot t^{77}-\frac{2964319475709782576627282366325}{64}\cdot t^{75}+\frac{2741995515031548883380236188850625}{512}\cdot t^{73}-\frac{138576234875055970490831936621143125}{256}\cdot t^{71}+\frac{49194563380644869524245337500505809375}{1024}\cdot t^{69}-\frac{3847014856366428796795985392539554293125}{1024}\cdot t^{67}+\frac{8505749847426174069715923702904954542099375}{32768}\cdot t^{65}-\frac{32521984710747136148913825922871885013909375}{2048}\cdot t^{63}+\frac{7057270682232128544314300225263199048018334375}{8192}\cdot t^{61}-\frac{339863298644336716739346563479780375207198734375}{8192}\cdot t^{59}+\frac{116301220796092024468204394022780844395903406903125}{65536}\cdot t^{57}-\frac{2209723195125748464895883486432836043522164731159375}{32768}\cdot t^{55}+\frac{298312631341976042760944270668432865875492238706515625}{131072}\cdot t^{53}-\frac{8936408825853108411403939238719575851661484889947359375}{131072}\cdot t^{51}+\frac{3797973750987571074846674176455819736956131078227627734375}{2097152}\cdot t^{49}-\frac{22332085655806917920098444157560220053302050739978451078125}{524288}\cdot t^{47}+\frac{1856998814917482943971262933409430605970732065378208124265625}{2097152}\cdot t^{45}-\frac{34044978273487187306139820445839561109463421198600482278203125}{2097152}\cdot t^{43}+\frac{4391802197279847162492036837513303383120781334619462213888203125}{16777216}\cdot t^{41}-\frac{31045498291116160976236812127249213570336557710241025994726953125}{8388608}\cdot t^{39}+\frac{1533647615581138352226098519086111150374625950885906684139511484375}{33554432}\cdot t^{37}-\frac{16474343741565131331977122801795968163701627149838933090917978203125}{33554432}\cdot t^{35}+\frac{9802234526231253142526388067068601057402468154154165189096197030859375}{2147483648}\cdot t^{33}-\frac{9802234526231253142526388067068601057402468154154165189096197030859375}{268435456}\cdot t^{31}+\frac{268119944393972512427927673599229381864243981863628636054690095255859375}{1073741824}\cdot t^{29}-\frac{1555095677485040572081980506875530414812615094809046089117202552483984375}{1073741824}\cdot t^{27}+\frac{60648731421916582311197239768145686177691988697552797475570899546875390625}{8589934592}\cdot t^{25}-\frac{122936617747128207387561972502998012522348625738282697585616688270693359375}{4294967296}\cdot t^{23}+\frac{1636998120527549287844904160171499850955484332199238025745316954341337890625}{17179869184}\cdot t^{21}-\frac{4407302632189555774967049662000191906418611663613333146237391800149755859375}{17179869184}\cdot t^{19}+\frac{150729750020882807503873098440406563199516518895575993601318799565121650390625}{274877906944}\cdot t^{17}-\frac{62497701228170920184532748133827111570531239542068094907863892502611416015625}{68719476736}\cdot t^{15}+\frac{312488506140854600922663740669135557852656197710340474539319462513057080078125}{274877906944}\cdot t^{13}-\frac{283419807895193707813578741537122947819850970016355314117057186930447119140625}{274877906944}\cdot t^{11}+\frac{1417099039475968539067893707685614739099254850081776570585285934652235595703125}{2199023255552}\cdot t^9-\frac{283419807895193707813578741537122947819850970016355314117057186930447119140625}{1099511627776}\cdot t^7+\frac{258774607208655124525441459664329648009429146536672243324269605458234326171875}{4398046511104}\cdot t^5-\frac{27529213532835651545259729751524430639300973035816196098326553772152587890625}{4398046511104}\cdot t^3+\frac{27529213532835651545259729751524430639300973035816196098326553772152587890625}{140737488355328}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Hermite (physicists') type can be downloaded here packed into a single file.